Given :
The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).
To Find :
How far is it from the Elkin exit to the Mt. Airy exit.
Solution :
E(-5,-2) , D(-1 ,4 ) .
It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.
Let , location of Elkin exit is A(h,k) .
So , point D in terms of A and E is given by :
[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .
Comparing it with given D :
[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]
Therefore , the location of Mt. Airy exit is ( 3, 10 ) .
Distance between Elkin exit to the Mt. Airy exit.
[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]
Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .
Hence ,this is the required solution .
[tex]2 + \frac{60}{( - 3)} - 5( - 2)[/tex]
Simplify please
15y - 10 + y - 8 simplifies to
Answer:
Combine Like Terms:
= 15y + −10 + y + −8
= (15y+y) + (−10+−8)
= 16y + −18
J/6 -9=5/6
Can u give me a step to step answer
Answer:
j = 59
Step-by-step explanation:
since you are solving for j, you want to get it by itself
you can start out by multiplying both sides of the equation by 6 to get rid of the fractions
[tex](6)(\frac{j}{6}-9)=\frac{5}{6}(6)[/tex]
distribute the 6
[tex]j-54=5[/tex]
add 54 to both sides
[tex]j-54+54=5+54[/tex]
[tex]j=59[/tex]
f(x)=2x 2 +9x {Find }f(10) Find f(10)
Answer:Answer:
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n
Step-by-step explanation:
Let's solve for d.
y=2x2+9xfindf(10)findf(10)
Step 1: Flip the equation.
900d2f4i2n2x+2x2=y
Step 2: Add -2x^2 to both sides.
900d2f4i2n2x+2x2+−2x2=y+−2x2
900d2f4i2n2x=−2x2+y
Step 3: Divide both sides by 900f^4i^2n^2x.
900d2f4i2n2x
900f4i2n2x
=
−2x2+y
900f4i2n2x
d2=
−2x2+y
900f4i2n2x
Step 4: Take square root.
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n2x
2x
Answer:
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n
The value of f(10) for function f(x) = 2x² + 9x is 290.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given function is,
f(x) = 2x² + 9x (1)
To find the value of f(10),
Substitute x = 10,
f(10) = 2(10)² + 9(10)
f(10) = 2 x 100 + 90
f(10) = 200 + 90
f(10) = 290
The required value of f (10) is 290.
To know more about Algebraic expression on:
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what is the DOMAIN of the graph
Answer:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.
8x-3x+2=______ I need the equation to be a no solution
Distance between (5,0) and (2,-2)
Answer: d(distance) = [tex]\sqrt13\\[/tex]
Hope this help!
(5x² - 8x + 1) + (2x2 - 4x - 11)
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
2)
Which expression is equivalent to 4 to the 9th power and 4 to the 0 power
a. 4 to the 8th power
b. 4 to the 0 power
C. 4 to the 7 power
d. 4 to the 9 power
Answer:
d. 4^9
Step-by-step explanation:
Question:
Which expression is equivalent to 4^9/4^0?
a. 4^8
b. 4^0
c. 4^7
d. 4^9
Solution:
By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.
Any number divided by 1 equals the number itself.
For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.
4^0 = 1
Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.
4^9/4^0 = 4^9/1 = 4^9
Help, please find errors!
Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.
Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?
Answer:7.5 apples
Step-by-step explanation:
Let the number of mangoes be represented by m
Max has 5 more Apples than Mangos.
Therefore apples = m + 5
Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20
Mangoes = m
Apples = m+5
Peaches = 4m+20
Mangoes + Apples + Peaches = 40
m + m+5 + 4m+ 20 = 40
6m+25 = 40
6m = 40 - 25
6m = 15
m = 15/6
m = 2.5
Apples = m+5 = 2.5 + 5 = 7.5
Max has 7.5 apples
What is the formula on finding the base for a triangle?
Answer:
Step-by-step explanation:
The area of a triangle is ½ (b × h), where b is the base and h is the height. The base of a triangle is any one of the sides, and the height of the triangle is the length of the altitude from the opposite vertex to that base.
How to solve 8.6 = z -3.8
Answer:
12.4
Step-by-step explanation:
Step 1:
8.6 = z - 3.8
Step 2:
8.6 + 3.8 = z
Answer:
12.4 = z
Hope This Helps :)
Answer:
z=12.4
Step-by-step explanation:
8.6 = z-3.8
Add 3.8 on both sides
z = 12.4
If m CGD=4x+2, m DGE=3x-5, m EGF=2x+10, find the following measures.
Find the values of p and q such that
2x² - 4x + 3 = 2(x- p) +9
Answer:
P = 3x + 3 - x²
Step-by-step explanation:
The sum of the roots of the quadratic 5x^2 - 6x + 1 = 0 is
Answer:
here's your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Find the distance CD rounded to the nearest renth C=(6,-5) and D=(-1,-4)
Answer:
The distance from C to D is 7 units left and 1 unit up
Step-by-step explanation:
Answer:
C to D is 7 units left and 1 unit up
Step-by-step explanation:
Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?
Answer:
3.25 * .75 = $2.44
Step-by-step explanation:
Answer:
Your answer should be $2.44 or around there
Step-by-step explanation:
2x - 4y + 7x - 87
Helppp
Answer:
9x-4y-87
Step-by-step explanation:
2x-4y+7x-87
9x-4y-87
Answer:
9x-4y-87
Step-by-step explanation:
7x+2x=9x
-4y has no similar variable
-87 has no similar variable
therefore the answer is 9x-4y-87
find the domain of f(x)=5x/x-2
Hey there!
ANSWER:Interval Notation: [tex](-[/tex]∞[tex],0)[/tex]∪[tex](0,[/tex]∞)
EXPLANATION:[tex]f(x)=\frac{5x}{x}-2[/tex]
Interval Notation: [tex](-[/tex]∞[tex],0)[/tex]∪[tex](0,[/tex]∞[tex])[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Can someone help me figure this out please?! Please do step by step 3x - 4y= 65 y=4
Answer:
21
hope this helped you
please mark as the brainliest (ㆁωㆁ)
2. Old folks Here is a stemplot of the percents of residents
aged 65 and older in the 50 states:
Key: 152 means 15.2% of
this state's residents are 65
or older.
7
8
9
10
11
12
13
14
15
16
0
8
8
019
16777
01122456778999
0001223344455689
023568
24
9
(a) Find the percentile for Colorado, where 10.1% of the
residents are aged 65 and older.
(b) Rhode Island is at the 80th percentile of the
distribution. Interpret this value. What percent of
Rhode Island's residents are aged 65 and older?
Answer:
34
Step-by-step explanation:
Which is greater -8 or 3
Answer:
three is greater than -8
HELP! What is the length of the line?
Choose 1 answer:
A 11
B 61
C 8
D 11
Answer:
I believe the answer is 8
Step-by-step explanation:
If the pattern below follows the rule "starting with 10, every consecutive line has a number 1 less than the previous line," how many marbles must be in the seventh line?
Answer: B: 4
Step-by-step explanation: just took the test
The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
What is an Arithmetic Progression?An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.
The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula
n-th term = a + (n-1)d.
How do we solve the given question?We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.
This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.
We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.
n-th term = a + (n-1)d
or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.
∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
Learn more about an arithmetic progression at
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How to write 100100 in words
Mimi and Rita both plan to run for a spot on the school
board in their city. They must each collect a certain
number of signatures to get their name on the ballot. So
far, Mimi has 30 signatures, but Rita just started and
doesn't have any yet. Mimi is collecting signatures at an
average rate of 8 per hour, while Rita can get 14
signatures every hour. Assuming that their rate of
collection stays the same, eventually the two will have
collected the same number of signatures. How many
signatures will they both have?
Create two tables showing hours and signatures. Write,
graph, and solve a system of equations for this situation.
Explain what your solution means for the situation.
Answer:
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
Step-by-step explanation:
1) The initial number of signatures Mimi has = 30 Signatures
The average rate at which Mimi can collect signatures = 8 signatures per hour
The average rate at which Rita can collect signatures = 14 signatures per hour
The table of values showing the number of signatures Mimi and Rita can have at a given hour is presented as follows;
For Mimi, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 30
1 [tex]{}[/tex] 38
2 [tex]{}[/tex] 46
3 [tex]{}[/tex] 54
4 [tex]{}[/tex] 62
5 [tex]{}[/tex] 70
For Rita, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 14
2 [tex]{}[/tex] 28
3 [tex]{}[/tex] 42
4 [tex]{}[/tex] 56
5 [tex]{}[/tex] 70
2) The equation representing the number of signatures Mimi has at a given time, t, is given as follows;
The number of signatures Mimi has = 30 + 8 × t
The equation representing the number of signatures Rita has at a given time, t, is given as follows;
The number of signatures Rita has = 14 × t
3) Please find attached the required graph of the number of signatures Mimi and Rita has
4) The solution if the system of equations is given as follows;
30 + 8 × t = 14 × t
From which we have;
30 = 14 × t - 8 × t = 6 × t
t = 30/6 = 5 Hours
By substituting t = 5 hours in the above equations, the equal number of signature of signatures Mimi and Rita can have is therefore;
30 + 8 × 5 = 70 signatures = (14 × 5) signatures
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
5) The meaning of the solution is that is Mimi and Rita continue collecting signatures at their respective constant rate of 8 and 14 signatures per hour, given that Mimi already has 30 signatures, they will have the same number of 70 signatures after 5 hours
PLEASE HELP 30 POINTS EASY
Answer
Step-by-step explanation:
Let's solve for z.
a(t+z)=45z+67
Step 1: Add -45z to both sides.
at+az+−45z=45z+67+−45z
at+az−45z=67
Step 2: Add -at to both sides.
at+az−45z+−at=67+−at
az−45z=−at+67
Step 3: Factor out variable z.
z(a−45)=−at+67
Which is the best answer for how many
word Lucy can type in 27 minutes?
Answer:
i need more information to answer this question
Step-by-step explanation:
If DE bisects <ABC.find the value of x if m<ABC=7x+29 and m<DBC=99°
Answer:
19
Step-by-step explanation:
If DE bisects <ABC, this means that <ABE = <EBC
Also <DBC+<EBC = 180
99+<EBC = 180
<EBC = 180-99
<EBC = 81
Also <ABC =<ABE+<EBC
<ABC =<EBC+<EBC
7x+29 = 81+81
7x = 162-29
7x = 133
x = 133/7
x = 19°
Hence the value of x is 19°